Schroll, Sibylle, Treffinger, Hipolito and Valdivieso, Yadira (2021). On band modules and tau-tilting finiteness. Math. Z., 299 (3-4). S. 2405 - 2418. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823
Full text not available from this repository.Abstract
In this paper, motivated by a tau-tilting version of the Brauer-Thrall Conjectures, we study general properties of band modules and their endomorphisms in the module category of a finite dimensional algebra. As an application we describe properties of torsion classes containing band modules. Furthermore, we show that a special biserial algebra is tau-tilting finite if and only if no band module is a brick. We also recover a criterion for the tau-tilting finiteness of Brauer graph algebras in terms of the Brauer graph.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
|
||||||||||||||||
URN: | urn:nbn:de:hbz:38-581375 | ||||||||||||||||
DOI: | 10.1007/s00209-020-02687-2 | ||||||||||||||||
Journal or Publication Title: | Math. Z. | ||||||||||||||||
Volume: | 299 | ||||||||||||||||
Number: | 3-4 | ||||||||||||||||
Page Range: | S. 2405 - 2418 | ||||||||||||||||
Date: | 2021 | ||||||||||||||||
Publisher: | SPRINGER HEIDELBERG | ||||||||||||||||
Place of Publication: | HEIDELBERG | ||||||||||||||||
ISSN: | 1432-1823 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
Uncontrolled Keywords: |
|
||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/58137 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |